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Simplifying 3[5 + -2(7 + -1x)] = 3(x + -7) 3[5 + (7 * -2 + -1x * -2)] = 3(x + -7) 3[5 + (-14 + 2x)] = 3(x + -7) Combine like terms: 5 + -14 = -9 3[-9 + 2x] = 3(x + -7) [-9 * 3 + 2x * 3] = 3(x + -7) [-27 + 6x] = 3(x + -7) Reorder the terms: -27 + 6x = 3(-7 + x) -27 + 6x = (-7 * 3 + x * 3) -27 + 6x = (-21 + 3x) Solving -27 + 6x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + 6x + -3x = -21 + 3x + -3x Combine like terms: 6x + -3x = 3x -27 + 3x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 3x = -21 + 0 -27 + 3x = -21 Add '27' to each side of the equation. -27 + 27 + 3x = -21 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -21 + 27 3x = -21 + 27 Combine like terms: -21 + 27 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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